The graph of y=4x2-4x-1=0

Answers

Answer 1

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

The Graph Of Y=4x2-4x-1=0

Related Questions

HELP ME FOR 30 POINTS!!
Determine the equation of the circle graphed below.

Answers

Answer:

(x-7)²+y²=9

Step-by-step explanation:

There is a formula used for the equation of a circle:

(x-h)²+(y-k)² = r²

(h, k) is the center of the circle

r is the radius

In this case, (h, k) is (7, 0)

Plug in the values for h and k

∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)

whats the value of x?

Answers

Answer:

6.92820323=x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x /8

8 sin 60 = x

6.92820323=x

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =

Answers

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

what is 2/3 of 4 hours and 30 minutes?

Answers

The answer is 3 hours

The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball?​

Answers

Answer:

90 Students.

Step-by-step explanation:

1/2 (Half) of 180 is 90.

Answer:

90 students will choose basketball

Step-by-step explanation:

half (1/2) choose basketball and half of 180 is 90

Question # 2: A circle has a radius of 12 feet. What is the area of the circle? Use 3.14 for Pi.​

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi and 12 as the radius, then solve:

A = (3.14)(12)²

A = (3.14)(144)

A = 452.16

So, the area of the circle is 452.16 ft²

check whether 7+3x is a factor of 3x^3+7x

Answers

Answer:

no

Step-by-step explanation:

refer to picture for solution

Whats the value of x in this triangle

Answers

Answer:

x =33.48537662

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin x = 32/58

Taking the inverse sin of each side

sin^-1 (sin x)  = sin ^-1( 32/58)

x =sin ^-1( 32/58)

x =33.48537662

Answer:

33.47 degrees

Step-by-step explanation:

sin=32/58

sin^-1(32/58)= 33.47

what is the volume of the rectangular prism??

Answers

Answer:

Step-by-step explanation:

volume of rectangular prism = length * breadth * height

=6m * 5.5m * 4.5m

=148.5 m^3

The number of children studying in different schools of kanpur is 6,45,55,587 . If the number of boys is 4,55,25,400, find the number of girls.

Answers

Answer:

19030187 girls

Step-by-step explanation:

Total number of children = 6,45,55,587

number of boys =4,55,25,400

Number of girls= (Total number of children ) - (number of boys )

= (6,45,55,587)-(4,55,25,400)

= 19030187 girls

The number of girls. Is 19030187

find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)​

Answers

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

Determine the value for x in the picture below.

Answers

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer is x = 6
I hope that helps

18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–5, 23)

B. (–10, 2)

C. (5, –23)

D. (2, –10)

Answers

B ( -10 , 2 ) hope this helps you!!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

C. (5, –23)

»»————- ★ ————-««  

Here’s why:  

I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Johnny Bravo bought Amazon 25 shares at $50. He sold them at $2346 a few years later. How much money did he make on this stock?

Answers

Answer:

$1096

Step-by-step explanation:

If Johnny Bravo bought Amazon 25 shares at $50, the cost price is expressed as;

Cost price of 25shares = 25 * 50

Cost price of 25shares = $1,250

If he sold them at $2346 a few years later

Profit = Selling price - Cost price

Profit made = 2346 - 1250

Profit made = $1096

Write an equation for a line that is perpendicular to the line 6y – 9x = 12

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16​

Answers

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. What fraction of the donuts had sprinkles? There are 12 donuts in a dozen.

Answers

Answer:

22/24

ALL TOGETHER there is 24 donuts.

take half of 24, or 24 divided by 2, and you get 12.

so we know 12 of the donuts are vanilla with sprinkles.

then 2 had strawberry frosting and the rest had chocolate and sprinkles.

we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.

so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total

Answer:

22/24

Step-by-step explanation:

Determine f’s end behavior

f(x)= -5x^6+8x^5-1/ x^2 -9

Answers

Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Using the net below, find the surface area
of the pyramid.
cm
4cm
4 cm
Surface Area
[?] cm2

Answers

Answer:

56 cm^2

Step-by-step explanation:

Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.

Area of square base (side^2)

4^2 = 16 cm^2

Area of ONE triangular face (1/2 x b x h):

1/2 x 4 x 5 = 10 cm^2

Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2

ADD all the areas of triangles and square:

16 cm^2 + 40 cm^2 = 56 cm^2

HOPE THIS HELPS

Have a nice day!

The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11

Answers

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

[tex]1=\frac{-6-1}{x-4}[/tex] and

[tex]1=\frac{-7}{x-4}[/tex]  and cross multiply to get x - 4 = -7 so

x = -3

A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.

Answers

Answer:

258.3 sq inches

Step-by-step explanation:

Use the sphere surface area formula, SA = 4[tex]\pi[/tex]

The diameter is 9.07 inches, so the radius is 4.535 inches.

Plug in 3.14 as pi and 4.535 as r, and solve:

SA = 4[tex]\pi[/tex]r²

SA = 4(3.14)(4.535)²

SA = 258.3

So, the surface area is approximately 258.3 sq inches

half of a dome is called what?​

Answers

Answer:

See I don't know the Answer but I Need points to ask question so Sorry

Step-by-step explanation:

A gym charges a one-time fee of $60 to join and membership dues of $25 per month
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym membership are related. Drag numbers to
complete the table. Numbers may be used once or not at all.
865
200
410
205
135
75
505
260
ות
3
8
14
C
Part B.
Which equation represents the total cost based on the number of months of gym membership?
O А.
C = 25m
B В.
C = 60 + 25m
Review progress
Question 5
of 22
Back
Next →

Answers

Answer:

Step-by-step explanation:

C=25m plus 75

Consider this right triangle. Determine whether each equation is correct. Select yes or no using the dropdown for each equation.

Answers

Answer:

Yes

Yes

NO    CosD = 5/13

Yes

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?

Answers

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

Please help me. I feel really confused and I have no clue on what to do…

Answers

Answer:

i cant understand your questions. can you reply me? i will have better answer

Brainliest question!


What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!

Answers

Answer:

4 will replace?

Step-by-step explanation:

as 3-2=1

6-4=2

4-1=3

8-2=6

again

3-2=1

so

6-x=2

6-2=x

4

plz mark it as brainliest answer


please help. i have no clue how to do volume of spheres

Answers

Step-by-step explanation:

the answer is a

4/3πr^3

4/3*22/7*5^3

What is the area of the rectangle above


A.48 square cm

B.28 square cm

C.14 square cm

D. 24 square cm

Answers

Answer:

24

Step-by-step explanation:

Area = width * length

Given width = 2cm

Given length = 12cm

Area = 2 * 12 = 24

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